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2006.115: Classifying thick subcategories of perfect complexes

2006.115: Grigory Garkusha and Mike Prest (2006) Classifying thick subcategories of perfect complexes.

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Abstract

Given a commutative coherent ring R, a bijective correspondence between the thick subcategories of perfect complexes D_{per}(R) and the Serre subcategories of finitely presented modules is established. To construct this correspondence, properties of the Ziegler and Zariski topologies on the set of (iso-classes for) indecomposable injective modules are essentially used.

Item Type:MIMS Preprint
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MSC 2000 > 13 Commutative rings and algebras
MSC 2000 > 55 Algebraic topology
MIMS number:2006.115
Deposited By:Professor Mike Prest
Deposited On:22 May 2006

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